Finding the Fourth Proportional to 10,377.58, 14,322.27 and 5,778.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.58 : 14,322.27 = 5,778.82 : x
2. Step 2: Convert to fraction form
   10,377.58/14,322.27 = 5,778.82/x
3. Step 3: Cross multiply
   10,377.58x = 14,322.27 × 5,778.82
4. Step 4: Simplify right side
   10,377.58x = 82,765,820.32
5. Step 5: Solve for x
   x = 82,765,820.32/10,377.58
6. Step 6: Final answer
   x = 7,975.45